Zobrazeno 1 - 10
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pro vyhledávání: '"Joram Lindenstrauss"'
This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets
Autor:
Joram Lindenstrauss, Lior Tzafriri
Springer-Verlag began publishing books in higher mathematics in 1920, when the seriesGrundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later a new series
Publikováno v:
Journal of Approximation Theory. 163:1748-1771
In the present paper, we study conditions under which the metric projection of a polyhedral Banach space X onto a closed subspace is Hausdorff lower or upper semicontinuous. For example, we prove that if X satisfies (*) (a geometric property stronger
Publikováno v:
Journal of Approximation Theory. 182:110-112
The present note is a corrigendum to the paper “Best approximation in polyhedral Banach spaces”, J. Approx. Theory 163 (2011) 1748–1771.
Publikováno v:
Journal of the European Mathematical Society. :385-412
We prove a new variational principle which in particular does not assume the complete- ness of the domain. As an application we give a new, more natural, proof of the fact that a real valued Lipschitz function on an Asplund space has points of Fr´ e
Autor:
Joram Lindenstrauss, Vladimir P. Fonf
Publikováno v:
Israel Journal of Mathematics. 136:157-172
We introduce a notion which is intermediate between that of taking thew*-closed convex hull of a set and taking the norm closed convex hull of this set. This notion helps to streamline the proof (given in [FLP]) of the famous result of James in the s
Autor:
David Preiss, Joram Lindenstrauss
Publikováno v:
Annals of Mathematics. 157:257-288
A well-known open question is whether every countable collection of Lipschitz functions on a Banach space X with separable dual has a common point of Frechet differentiability. We show that the answer is positive for some infinite-dimensional X. Prev
Publikováno v:
Proceedings of the London Mathematical Society. 84:711-746
We give several sufficient conditions on a pair of Banach spaces X and Y under which each Lipschitz mapping from a domain in X to Y has, for every $\epsilon > 0$, a point of $\epsilon$-Fréchet differentiability. Most of these conditions are stated i
Publikováno v:
Israel Journal of Mathematics. 118:207-219
We give two examples which show that in infinite dimensional Banach spaces the measure-null sets are not preserved by Lipschitz homeomorphisms. There exists a closed setD ⊂ l2 which contains a translate of any compact set in the unit ball of l2 and
Autor:
Joram Lindenstrauss, David Preiss
Publikováno v:
Journal of the European Mathematical Society. 2:199-216
We give a relatively simple (self-contained) proof that every real-valued Lipschitz function on l2 (or more generally on an Asplund space) has points of Frechet differentiability. Somewhat more generally, we show that a real-valued Lipschitz function